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* Rename all Project Euler directories: Reason: The change was done to maintain consistency throughout the directory and to keep all directories in sorted order. Due to the above change, some config files had to be modified: 'problem_22` -> `problem_022` * Update scripts to pad zeroes in PE directories
52 lines
999 B
Python
52 lines
999 B
Python
"""
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Project 7: https://projecteuler.net/problem=7
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By listing the first six prime numbers:
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2, 3, 5, 7, 11, and 13
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We can see that the 6th prime is 13. What is the Nth prime number?
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"""
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import itertools
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import math
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def prime_check(number: int) -> bool:
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"""Determines whether a given number is prime or not"""
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if number % 2 == 0 and number > 2:
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return False
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return all(number % i for i in range(3, int(math.sqrt(number)) + 1, 2))
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def prime_generator():
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num = 2
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while True:
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if prime_check(num):
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yield num
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num += 1
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def solution(nth: int = 10001) -> int:
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"""Returns the n-th prime number.
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>>> solution(6)
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13
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>>> solution(1)
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2
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>>> solution(3)
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5
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>>> solution(20)
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71
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>>> solution(50)
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229
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>>> solution(100)
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541
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>>> solution()
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104743
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"""
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return next(itertools.islice(prime_generator(), nth - 1, nth))
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if __name__ == "__main__":
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print(solution(int(input().strip())))
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